Transcript Inscribed Angles - Vision Charter School

Inscribed Angles
Section 10-4
inscribed angle – an angle whose
vertex is on the circle and whose
sides each contain chords of the
circle.
B
C
ABC is an inscribed angle.
A
D
ADC is an inscribed arc.
Inscribed Angle Thm (10.5)
If an angle is inscribed in a circle,
then the measure of the angle
equals ½ the measure of its
intercepted arc.
140o
70o
Theorem 10.6
If 2 inscribed angles of a circle
or congruent circles intercept
congruent arcs or the same arc,
then the angles are congruent.
D
A
B
C
ADC  ABC
Theorem 10.7
If an inscribed angle of a circle
intercepts a semicircle, then the
angle is a right angle.
180o
Theorem 10.8
If a quadrilateral is inscribed in
a circle, then its opposite
angles are supplementary.
60o
120o
Joke Time
What do you get if you take a
native Alaskan and divide its
circumference by its diameter?
Eskimo pi
Why did Humpty Dumpty
have a great fall?
To make up for his miserable
summer